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arXiv · 2212.09021

Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings

Vasudevarao Allu·Rohit Kumar
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Abstract

In this paper, we establish an improved coefficient bounds for quasiregular and elliptic harmonic mappings and using these bounds we establish Landau-Bloch type theorem for $(K,K')$-elliptic and K-quasiregular harmonic mappings in plane. Furthermore, we prove the coefficient estimates for $K$-quasiconformal harmonic self maps defined on the unit disk $\mathbb{D}$.

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Vasudevarao Allu, Rohit Kumar. 2022-12-18. Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings. https://doi.org/10.1016/j.jmaa.2024.128215

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